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Finding the Fourth Proportional to 2,455.11, 3,682.29 and 993.90

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Solution

The fourth proportional to 2,455.11, 3,682.29 and 993.90 is: 1,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.11 : 3,682.29 = 993.90 : x
  2. Step 2: Convert to fraction form
    2,455.11/3,682.29 = 993.90/x
  3. Step 3: Cross multiply
    2,455.11x = 3,682.29 × 993.90
  4. Step 4: Simplify right side
    2,455.11x = 3,659,828.03
  5. Step 5: Solve for x
    x = 3,659,828.03/2,455.11
  6. Step 6: Final answer
    x = 1,490.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.